Global analysis on foliated spaces:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Univ. Press
2006
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Mathematical Sciences Research Institute <Berkeley, Calfi.>: Mathematical Sciences Research Insitute publications
9 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 267 - 279 |
| Beschreibung: | XIII, 293 S. graph. Darst. |
| ISBN: | 9780521613057 0521613051 |
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Datensatz im Suchindex
| _version_ | 1804137262660714496 |
|---|---|
| adam_text | Contents
Preface to the Second Edition xi
Preface to the First Edition xiii
Introduction 1
Chapter I. Locally Traceable Operators 13
Chapter II. Foliated Spaces 31
Chapter III. Tangential Cohomology 55
Chapter IV. Transverse Measures 75
Chapter V. Characteristic Classes 109
Chapter VI. Operator Algebras 129
Chapter VII. Pseudodifferential Operators 167
VII A. Pseudodifferential Operators 169
VII B. Differential Operators and Finite Propagation 190
VII C. Dirac Operators and the McKean Singer Formula 197
VII D. Superoperators and the Asymptotic Expansion 202
Chapter VIII. The Index Theorem 209
Appendix A. The 3 Operator by Steven Harder 225
A1. Average Euler Characteristic 226
A2. The 3 Index Theorem and Riemann Roch 229
A3. Foliations by Surfaces (Complex Lines or A = 1) 231
A4. Geometric /^ Theories 236
A5. Examples of Complex Foliations of Three Manifolds 242
Appendix B. L2 Harmonic Forms on Noncompact Manifolds by
Calvin C. Moore, Claude Schochet, and Robert J. Zimmer 249
Appendix C. Positive Scalar Curvature Along the Leaves by Robert J. Zimmer 255
Appendix D. Gap Labeling by Claude Schochet 259
References 267
Notation 280
Index 285
ix
|
| adam_txt |
Contents
Preface to the Second Edition xi
Preface to the First Edition xiii
Introduction 1
Chapter I. Locally Traceable Operators 13
Chapter II. Foliated Spaces 31
Chapter III. Tangential Cohomology 55
Chapter IV. Transverse Measures 75
Chapter V. Characteristic Classes 109
Chapter VI. Operator Algebras 129
Chapter VII. Pseudodifferential Operators 167
VII A. Pseudodifferential Operators 169
VII B. Differential Operators and Finite Propagation 190
VII C. Dirac Operators and the McKean Singer Formula 197
VII D. Superoperators and the Asymptotic Expansion 202
Chapter VIII. The Index Theorem 209
Appendix A. The 3 Operator by Steven Harder 225
A1. Average Euler Characteristic 226
A2. The 3 Index Theorem and Riemann Roch 229
A3. Foliations by Surfaces (Complex Lines or A' = 1) 231
A4. Geometric /^ Theories 236
A5. Examples of Complex Foliations of Three Manifolds 242
Appendix B. L2 Harmonic Forms on Noncompact Manifolds by
Calvin C. Moore, Claude Schochet, and Robert J. Zimmer 249
Appendix C. Positive Scalar Curvature Along the Leaves by Robert J. Zimmer 255
Appendix D. Gap Labeling by Claude Schochet 259
References 267
Notation 280
Index 285
ix |
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| illustrated | Illustrated |
| index_date | 2024-07-02T19:18:53Z |
| indexdate | 2024-07-09T21:09:30Z |
| institution | BVB |
| isbn | 9780521613057 0521613051 |
| language | English |
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| physical | XIII, 293 S. graph. Darst. |
| publishDate | 2006 |
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| series | Mathematical Sciences Research Institute <Berkeley, Calfi.>: Mathematical Sciences Research Insitute publications |
| series2 | Mathematical Sciences Research Institute <Berkeley, Calfi.>: Mathematical Sciences Research Insitute publications |
| spelling | Moore, Calvin C. 1936- Verfasser (DE-588)1077542534 aut Global analysis on foliated spaces Calvin C. Moore ; Claude Schochet 2. ed. Cambridge Univ. Press 2006 XIII, 293 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical Sciences Research Institute <Berkeley, Calfi.>: Mathematical Sciences Research Insitute publications 9 Literaturverz. S. 267 - 279 Foliations Mathematics Global analysis Mathematics Globale Analysis (DE-588)4021285-3 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Faltungsgleichung (DE-588)4368138-4 gnd rswk-swf Blätterung (DE-588)4007006-2 gnd rswk-swf Raum Mathematik (DE-588)4124030-3 gnd rswk-swf Blätterung (DE-588)4007006-2 s Globale Analysis (DE-588)4021285-3 s DE-604 Raum Mathematik (DE-588)4124030-3 s 1\p DE-604 Analysis (DE-588)4001865-9 s 2\p DE-604 Faltungsgleichung (DE-588)4368138-4 s 3\p DE-604 Schochet, Claude Verfasser aut Mathematical Sciences Research Institute <Berkeley, Calfi.>: Mathematical Sciences Research Insitute publications 9 (DE-604)BV000013092 9 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016239629&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Moore, Calvin C. 1936- Schochet, Claude Global analysis on foliated spaces Mathematical Sciences Research Institute <Berkeley, Calfi.>: Mathematical Sciences Research Insitute publications Foliations Mathematics Global analysis Mathematics Globale Analysis (DE-588)4021285-3 gnd Analysis (DE-588)4001865-9 gnd Faltungsgleichung (DE-588)4368138-4 gnd Blätterung (DE-588)4007006-2 gnd Raum Mathematik (DE-588)4124030-3 gnd |
| subject_GND | (DE-588)4021285-3 (DE-588)4001865-9 (DE-588)4368138-4 (DE-588)4007006-2 (DE-588)4124030-3 |
| title | Global analysis on foliated spaces |
| title_auth | Global analysis on foliated spaces |
| title_exact_search | Global analysis on foliated spaces |
| title_exact_search_txtP | Global analysis on foliated spaces |
| title_full | Global analysis on foliated spaces Calvin C. Moore ; Claude Schochet |
| title_fullStr | Global analysis on foliated spaces Calvin C. Moore ; Claude Schochet |
| title_full_unstemmed | Global analysis on foliated spaces Calvin C. Moore ; Claude Schochet |
| title_short | Global analysis on foliated spaces |
| title_sort | global analysis on foliated spaces |
| topic | Foliations Mathematics Global analysis Mathematics Globale Analysis (DE-588)4021285-3 gnd Analysis (DE-588)4001865-9 gnd Faltungsgleichung (DE-588)4368138-4 gnd Blätterung (DE-588)4007006-2 gnd Raum Mathematik (DE-588)4124030-3 gnd |
| topic_facet | Foliations Mathematics Global analysis Mathematics Globale Analysis Analysis Faltungsgleichung Blätterung Raum Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016239629&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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